{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:37:42Z","timestamp":1760240262271,"version":"build-2065373602"},"reference-count":43,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T00:00:00Z","timestamp":1556064000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, by introducing the concept of generalized \u0106iri\u0107-type weak     (  \u03d5 g  , R )    -contraction, we prove some common fixed point results in partial metric spaces endowed with binary relation    R   . We also deduce some useful consequences showing the usability of our results. Finally, we present an application to establish the solution of a system of integral equations.<\/jats:p>","DOI":"10.3390\/axioms8020049","type":"journal-article","created":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T03:02:59Z","timestamp":1556161379000},"page":"49","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Relation Theoretic Common Fixed Point Results for Generalized Weak Nonlinear Contractions with an Application"],"prefix":"10.3390","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9334-2418","authenticated-orcid":false,"given":"Atiya","family":"Perveen","sequence":"first","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Idrees A.","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Integral University, Lucknow 226026, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammad","family":"Imdad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,4,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1111\/j.1749-6632.1994.tb44144.x","article-title":"Partial metric topology","volume":"728","author":"Matthews","year":"1994","journal-title":"Ann. 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