{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SI2WXFU6EH2JVYFZVLFR7C24HK","short_pith_number":"pith:SI2WXFU6","schema_version":"1.0","canonical_sha256":"92356b969e21f49ae0b9aacb1f8b5c3ab95cd3da53a40a1fed638c09610f3a0f","source":{"kind":"arxiv","id":"1810.07624","version":1},"attestation_state":"computed","paper":{"title":"Best proximity point results for almost contraction and application to nonlinear differential equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Azhar Hussain, Muhammad Adeel, Mujahid Abbas, Tanzeela Kanwal","submitted_at":"2018-10-17T15:38:11Z","abstract_excerpt":"Brinde [Approximating fixed points of weak contractions using the Picard itration, Nonlinear Anal. Forum 9 (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $\\Theta$- contraction mappings and present some best proximity point results for this new class of mappings. As applications, best proximity point and fixed point results for weak single valued $\\Theta$-contraction mappings are obtained. An example is presented to support the results presented herein. An app"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.07624","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.FA","submitted_at":"2018-10-17T15:38:11Z","cross_cats_sorted":[],"title_canon_sha256":"774ecce108fc793c0289446be31ecbe7df1f1aaa87d6819895ee28e5c34bc9bc","abstract_canon_sha256":"2b868a609f9ccf4012fa03739c8c69d576c1357e9a4fbd6246ab0ae2fec85919"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:55.611328Z","signature_b64":"sF91ZLjk15/9ehc4YBZgOW0EMJWBp5hlZLeCPfddTPB+fY1MM0y0nKehbOlVs+p6dE+4lROZnwY08zKAAmTqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92356b969e21f49ae0b9aacb1f8b5c3ab95cd3da53a40a1fed638c09610f3a0f","last_reissued_at":"2026-05-18T00:02:55.610369Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:55.610369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Best proximity point results for almost contraction and application to nonlinear differential equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Azhar Hussain, Muhammad Adeel, Mujahid Abbas, Tanzeela Kanwal","submitted_at":"2018-10-17T15:38:11Z","abstract_excerpt":"Brinde [Approximating fixed points of weak contractions using the Picard itration, Nonlinear Anal. Forum 9 (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $\\Theta$- contraction mappings and present some best proximity point results for this new class of mappings. As applications, best proximity point and fixed point results for weak single valued $\\Theta$-contraction mappings are obtained. An example is presented to support the results presented herein. An app"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07624","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1810.07624","created_at":"2026-05-18T00:02:55.610540+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.07624v1","created_at":"2026-05-18T00:02:55.610540+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.07624","created_at":"2026-05-18T00:02:55.610540+00:00"},{"alias_kind":"pith_short_12","alias_value":"SI2WXFU6EH2J","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SI2WXFU6EH2JVYFZ","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SI2WXFU6","created_at":"2026-05-18T12:32:53.628368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK","json":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK.json","graph_json":"https://pith.science/api/pith-number/SI2WXFU6EH2JVYFZVLFR7C24HK/graph.json","events_json":"https://pith.science/api/pith-number/SI2WXFU6EH2JVYFZVLFR7C24HK/events.json","paper":"https://pith.science/paper/SI2WXFU6"},"agent_actions":{"view_html":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK","download_json":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK.json","view_paper":"https://pith.science/paper/SI2WXFU6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.07624&json=true","fetch_graph":"https://pith.science/api/pith-number/SI2WXFU6EH2JVYFZVLFR7C24HK/graph.json","fetch_events":"https://pith.science/api/pith-number/SI2WXFU6EH2JVYFZVLFR7C24HK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK/action/storage_attestation","attest_author":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK/action/author_attestation","sign_citation":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK/action/citation_signature","submit_replication":"https://pith.science/pith/SI2WXFU6EH2JVYFZVLFR7C24HK/action/replication_record"}},"created_at":"2026-05-18T00:02:55.610540+00:00","updated_at":"2026-05-18T00:02:55.610540+00:00"}